Results 61 to 70 of about 1,246,913 (311)
The Annals of Probability, 1981 We consider the stochastic equation $X(t) = W(t) + \beta l^X_0(t)$, where $W$ is a standard Wiener process and $l^X_0(\cdot)$ is the local time at zero of the unknown process $X$. There is a unique solution $X$ (and it is adapted to the fields of $W$) if $|\beta| \leq 1$, but no solutions exist if $|\beta| > 1$.
Harrison, J. M, Shepp, Larry A
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Relativistic Brownian motion [PDF]
Physics Reports, 2009 review article, 159 pages, references updated, misprints corrected, App.
Dunkel, Jörn, Hänggi, Peter
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FEBS Open Bio, EarlyView.The two catalytic subunits of typhoid toxin dissociate from the holotoxin in the ER of an intoxicated cell, but only CdtB exits the ER to generate immunosuppressive effects. PltA is retained in the ER and sequestered from its cytosolic target, thus allowing the anti‐inflammatory effects of CdtB to promote intestinal colonization.
Maria C. Zabala‐Rodriguez +4 more
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Axioms, 2022 We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar +3 more
doaj +1 more source
The average density of super-Brownian motion [PDF]
, 1999 In this paper we prove the existence of average densities for the support of a superBrownian motion at a fixed time. Our result establishes a dimension-dependent fractal parameter for super-Brownian motion, which enables us to compare the local mass ...
Peter Mörters +2 more
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Using fluorescence fluctuation spectroscopy to quantify molecular dynamics within cells
FEBS Open Bio, EarlyView.Microscopy techniques like fluorescence correlation spectroscopy (FCS) and number and brightness analysis (N&B) allow to quantify concentrations, diffusion rates, and oligomerization of fluorescently labeled molecules in the living cell. In this protocol the principles of how to set up these types of experiments are described including calibration ...
Mark A. Hink
wiley +1 more source
Nonlinear Brownian Motion [PDF]
Physics-Uspekhi, 1994 Brownian motion is a familiar classroom demonstration. This phenomenon was discovered as early as 1827 by a British botanist called Robert Brown who was the first to report incessant chaotic movement of pollen particles suspended in liquid.
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]
, 2009 We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core
Stationary distributions for diffusions with inert drift [PDF]
, 2010 Consider reflecting Brownian motion in a bounded domain in $${\mathbb R^d}$$ that acquires drift in proportion to the amount of local time spent on the boundary of the domain.
Hairer, Martin +5 more
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